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Solving Optimization Problems with MATLAB

1 2018 The MathWorks, Optimization Problems with MATLAB2 Introduction Least-squares minimization Nonlinear Optimization Mixed-integer programming Global optimizationTopics3 Optimization ProblemsMinimize RiskMaximize ProfitsMaximize Fuel Efficiency4 Design ProcessInitial Design VariablesSystemModify Design VariablesOptimal DesignObjectivesmet?NoYes5 Manually (trial-and-error or iteratively)Why use Optimization ?Initial Guess6 Automatically (using optimizationtechniques)Initial GuessWhy use Optimization ?7 Why use Optimization ? Finding better (optimal) designs and decisions Faster design and decision evaluations Automate routine decisions Useful for trade-off analysis Non-intuitive designs may be foundAntenna Design Using Genetic Introduction Least-squares minimization Nonlinear Optimization Mixed-integer programming Global optimizationTopics9 Curve Fitting DemoGiven some data:Fit a curve of the form:teccty 21)(t = [0.]

Solving Optimization Problems with MATLAB. 2 ... Example Global Optimization Problems Why does fminconhave a hard time finding the function minimum? 0 5 10-10-5 0 5 10 x Starting at 10 0 5 10-10-5 0 5 10 x Starting at 8 0 5 10-10-5 0 5 10 x Starting at 6)

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